ENADE Matemática Practice Questions - ENADE Matemática - Exame Nacional De Desempenho Dos Estudantes Exam

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Determine the radius of convergence $R$ and the open interval of convergence of the power series $\sum_{n=1}^\infty \frac{(3x - 1)^n}{n 4^n}$.

$$R = \frac{4}{3}$ and interval $\left(-\frac{4}{3}, \frac{4}{3}\right)$ $$R = 4$ and interval $(-1, 5)$ $$R = \frac{4}{3}$ and interval $\left(-1, \frac{5}{3}\right)$ $$R = \frac{3}{4}$ and interval $\left(-\frac{1}{2}, \frac{7}{6}\right)$

Correct Answer:

$$R = \frac{4}{3}$ and interval $\left(-1, \frac{5}{3}\right)$

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